You can sometime run a quick second check by taking the AI's claim and asking it for an evaluation within a fresh context. It won't be misled by the surrounding text and its answer will at least be somewhat unbiased (though it might still be quite wrong).

It helps if you phrase the question openly, not obviously fishing for a yes-or-no answer. Or, if you have to ask for a yes-or-no question, make it sound like you're obviously expecting the answer that's actually less likely, so the AI will (1) either be more willing to argue against it, or (2) provide good arguments for it you might not have considered, because it "knows" the answer is unexpected and it wants to flatter your judgment.